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41145311320000 = 265410114297127
BaseRepresentation
bin10010101101011111000111…
…01010100101011111000000
312101200110020111020022212021
421112233203222211133000
520343111044144220000
6223301521200411224
711444436112454026
oct1126574352453700
9171613214208767
1041145311320000
11121236a0647468
1247462a1616b14
1319c5ca8916294
14a2362d6d0716
154b543d60411a
hex256be3aa57c0

41145311320000 has 280 divisors, whose sum is σ = 103123739964960. Its totient is φ = 16281484800000.

The previous prime is 41145311319989. The next prime is 41145311320019. The reversal of 41145311320000 is 2311354114.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5773156437 + ... + 5773163563.

Almost surely, 241145311320000 is an apocalyptic number.

41145311320000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41145311320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51561869982480).

41145311320000 is an abundant number, since it is smaller than the sum of its proper divisors (61978428644960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41145311320000 is a wasteful number, since it uses less digits than its factorization.

41145311320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8689 (or 8664 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 41145311320000 its reverse (2311354114), we get a palindrome (41147622674114).

The spelling of 41145311320000 in words is "forty-one trillion, one hundred forty-five billion, three hundred eleven million, three hundred twenty thousand".